{"id":43986,"date":"2025-02-24T19:47:41","date_gmt":"2025-02-24T14:17:41","guid":{"rendered":"https:\/\/www.iquanta.in\/blog\/?p=43986"},"modified":"2025-02-24T21:13:08","modified_gmt":"2025-02-24T15:43:08","slug":"cat-quants-answers","status":"publish","type":"post","link":"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/","title":{"rendered":"CAT Mock Test Series 2025 \u2013 Answers"},"content":{"rendered":"\n<p>Q1. The difference of the two numbers is 425. On dividing the larger number by the smaller, we get 2 as the quotient and 125 as the remainder. What is the larger number?<\/p>\n\n\n\n<p>(a) 750<br><strong>(b) 725<\/strong><br>(c)\u00a0775\u00a0<br>(d) 800\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <strong>\u00a0\u00a0<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<br><br><strong>Solution:<\/strong><br>Let the two numbers be x and y.<br>x \u2013 y = 425 &#8212;&#8211;(1)<br>x \u2013 2y = 125 &#8212;&#8211;(2)<br>From (1) and (2), we get y = 300 and x = 725.<br>Hence, the larger number = 725<br>Hence, option <strong>(b)<\/strong> is the required answer.<\/p>\n\n\n\n<p>Q2. On dividing a number by 42, we get 10 as the remainder. On dividing the same number by 6, what will be the remainder?<\/p>\n\n\n\n<p>(a) 2<br>(b) 3<br><strong>(c) 4\u00a0<\/strong><br>(d) 5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p>\n\n\n\n<p><strong>Solution:<\/strong><br>Let us take the number be x and the quotient be y.<br>So, x = 42y + 10 = 6* (7y +1) + 4<br>Therefore, the number divided by 6, we get 4 as the remainder.<\/p>\n\n\n\n<p>Hence, <strong>(c)<\/strong> is the required answer.<\/p>\n\n\n\n<p><br>Q3. Eight distinct prime numbers are chosen, each of whose value is less than 100. The sum of these numbers is a three-digit odd number A. If the value of A is maximum, then the sum of the least and the highest of these numbers is equal to _<\/p>\n\n\n\n<p>(a) 96<br>(b) 97<br>(c) 98<br><strong>(d) 99<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p>\n\n\n\n<p><strong>Solution:<\/strong><br>Since, the sum is an odd number, the least of these prime numbers must be 2.<br>Now, for A to be the maximum, the highest among these prime numbers must be 97.<br>Therefore, the required sum is 99.<\/p>\n\n\n\n<p>Hence, <strong>(d)<\/strong> is the required answer.<\/p>\n\n\n\n<p>Q4. How many integers from 5000 to 6999 have at least one of its digits repeated?<\/p>\n\n\n\n<p><strong>(a) 992<\/strong><br>(b) 993<br>(c) 994\u00a0<br>(d) 995\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p>\n\n\n\n<p><strong>Solution:<\/strong><br>Total numbers with none of its digits repeated = 2 \u00d7 9 \u00d7 8 \u00d7 7 = 1008.<br>So, numbers having at least one of its digits repeated = 2000 \u2013 1008 = 992.<\/p>\n\n\n\n<p>Hence, <strong>(a)<\/strong> is the required answer.<\/p>\n\n\n\n<p><br>Q5. If x and y are two natural numbers such that x\u2264y and mn=25^1240. How many pairs (x, y) exist?<\/p>\n\n\n\n<p>(a) 1240<br><strong>(b) 1241<\/strong><br>(c) 1242\u00a0<br>(d) 1243\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p>\n\n\n\n<p><strong>Solution:<\/strong><br>Here, 25^1240=(\u30165^2)\u3017^1240=3^2480<br>Total factors of 5^2480 is 2481.<br>a\u00d7b=5^2480<br>Out of 2481 factors, for 1240 factors x &lt; y and in one case x = y.<br>Therefore, the total possible such cases = 1241<br>Hence, <strong>(b)<\/strong> is the required answer.<\/p>\n\n\n\n<p>Q6. If n is a natural number between 1 and 28 (both included), how many natural numbers exist between 1 and 28 such that n! is divisible by (n+ 1)?<\/p>\n\n\n\n<p><strong>(a) 17<\/strong><br>(b) 18<br>(c) 19<br>(d) 20<strong>\u00a0<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p>\n\n\n\n<p><strong>Solution:<\/strong><br>According to the corollary of Wilson&#8217;s Theorem, n! is divisible by (n+1) where (n+1) is a composite number except 4. There are 17 such numbers 5, 7, 8, 9, 11, 13, 14, 15, 17, 19, 20, 21, 23, 24, 25, 26, and 27.<\/p>\n\n\n\n<p>So, the total number of such numbers = 17<\/p>\n\n\n\n<p>Hence, <strong>(a)<\/strong> is the required answer.<\/p>\n\n\n\n<p>Q7. Some numbers can be expressed as the sum of three of their factors. For example, 12 can be expressed as the sum of 2, 4, and 6. How many other such numbers are there which are less than 120?<\/p>\n\n\n\n<p>(a) 15<br>(b) 17\u00a0<br><strong>(c) 18<\/strong>\u00a0\u00a0<br>(d) 19\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p>\n\n\n\n<p><strong>Solution:<\/strong><br>Let N be one such number. The factors of N in decreasing order can be listed as N\/2, N\/3, N\/4, N\/5, \u2026<br><strong>Case 1:<\/strong> N is not divisible by 2.<br>In this case, the three largest factors of N would be N\/3, N\/5, and N\/7.<br>N\/3 + N\/5 + N\/7 = (35N + 21N + 15N)\/105 = 71N\/105<br>Since their sum is less than N. This implies N\/2 must be a factor of N.<br><br><strong>Case 2:<\/strong> N is not divisible by 3.<br>In this case, the next two largest factors of N after N\/2 would be N\/4 and N\/5.<br>N\/2 + N\/4 + N\/5 = (10N + 5N + 4N)\/20 = 19N\/20<br>Since their sum is less than N, this implies N\/3 must be a factor of N.<br><br>Now, N\/2 and N\/3 must be added to N\/6 to get N.<br>N\/2 + N\/3 + N\/6 = N<br><br>Hence, the only possibility of 3 factors of N, whose sum is N are N\/2, N\/3, and N\/6.<br>So, N must be divisible by 6.<br>The total number of multiples of 6 below 120 is 19, including the number 12.<br>So, there are 18 such numbers other than 12.<br><br>Hence, <strong>(c)<\/strong> is the correct answer.<\/p>\n\n\n\n<p>Q8. What is the sum of all the numbers up to 30, which have exactly 5 or 3 or 2 factors?<\/p>\n\n\n\n<p>(a) 184<br>(b) 185\u00a0\u00a0<br>(c) 181<br><strong>(d) 183<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong> <\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><br>N = p4 (P is prime) has exactly five factors<br>N = p2 (P is prime) has exactly three factors<br>and also, all the prime numbers have exactly two factors.<br>Therefore, we have to find the sum of all prime numbers, squares of prime numbers, and fourth power of prime numbers up to 30.<br>= (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 ) + (22 + 32 + 52) + 24<br>= 129 + 38 + 16 = 183<br>Hence, <strong>(d)<\/strong> is the required answer.<\/p>\n\n\n\n<p>Q9. How many natural numbers are there between 1 to 95, which have exactly 2 factors?<\/p>\n\n\n\n<p>(a) 22<br><strong>(b) 24<\/strong><br>(c) 26<br>(d) 28\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p>\n\n\n\n<p><strong>Solution:<\/strong><br>Each prime number has exactly 2 factors.<br>So, the total number of prime numbers between 1 to 95 is 24.<br>Hence, <strong>(b)<\/strong> is the required answer.<\/p>\n\n\n\n<p>Q10. Let &#8216;n&#8217; be a factor of 360. How many positive integral solutions does the equation abc = n have?<\/p>\n\n\n\n<p>(a) 760<br>(b) 780<br><strong>(c) 800<\/strong>\u00a0\u00a0<br>(d) 820\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong> <\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"545\" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2025\/02\/Screenshot-2025-02-24-at-7.45.14\u202fPM-1024x545.png\" alt=\"\" class=\"wp-image-43988\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2025\/02\/Screenshot-2025-02-24-at-7.45.14\u202fPM-1024x545.png 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2025\/02\/Screenshot-2025-02-24-at-7.45.14\u202fPM-300x160.png 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2025\/02\/Screenshot-2025-02-24-at-7.45.14\u202fPM-768x409.png 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2025\/02\/Screenshot-2025-02-24-at-7.45.14\u202fPM-789x420.png 789w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2025\/02\/Screenshot-2025-02-24-at-7.45.14\u202fPM-150x80.png 150w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2025\/02\/Screenshot-2025-02-24-at-7.45.14\u202fPM-696x371.png 696w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2025\/02\/Screenshot-2025-02-24-at-7.45.14\u202fPM-1068x569.png 1068w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2025\/02\/Screenshot-2025-02-24-at-7.45.14\u202fPM.png 1134w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q1. The difference of the two numbers is 425. On dividing the larger number by the smaller, we get 2 as the quotient and 125 as the remainder. What is the larger number? (a) 750(b) 725(c)\u00a0775\u00a0(d) 800\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Solution:Let the two numbers be x and y.x \u2013 y = 425 &#8212;&#8211;(1)x \u2013 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.4 (Yoast SEO v21.9.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>CAT Mock Test Series 2025 \u2013 Answers - iQuanta<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"CAT Mock Test Series 2025 \u2013 Answers\" \/>\n<meta property=\"og:description\" content=\"Q1. The difference of the two numbers is 425. On dividing the larger number by the smaller, we get 2 as the quotient and 125 as the remainder. What is the larger number? (a) 750(b) 725(c)\u00a0775\u00a0(d) 800\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Solution:Let the two numbers be x and y.x \u2013 y = 425 &#8212;&#8211;(1)x \u2013 [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/\" \/>\n<meta property=\"og:site_name\" content=\"iQuanta\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/facebook.com\/iquanta.in\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/jeet.singh.412224\" \/>\n<meta property=\"article:published_time\" content=\"2025-02-24T14:17:41+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-02-24T15:43:08+00:00\" \/>\n<meta name=\"author\" content=\"Indrajeet Singh\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Indrajeet Singh\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/\"},\"author\":{\"name\":\"Indrajeet Singh\",\"@id\":\"https:\/\/www.iquanta.in\/blog\/#\/schema\/person\/2beb5d5f0836ae531bc05794e824b890\"},\"headline\":\"CAT Mock Test Series 2025 \u2013 Answers\",\"datePublished\":\"2025-02-24T14:17:41+00:00\",\"dateModified\":\"2025-02-24T15:43:08+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/\"},\"wordCount\":747,\"publisher\":{\"@id\":\"https:\/\/www.iquanta.in\/blog\/#organization\"},\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/\",\"url\":\"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/\",\"name\":\"CAT Mock Test Series 2025 \u2013 Answers - 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The difference of the two numbers is 425. On dividing the larger number by the smaller, we get 2 as the quotient and 125 as the remainder. What is the larger number? (a) 750(b) 725(c)\u00a0775\u00a0(d) 800\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Solution:Let the two numbers be x and y.x \u2013 y = 425 &#8212;&#8211;(1)x \u2013 [&hellip;]","og_url":"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/","og_site_name":"iQuanta","article_publisher":"https:\/\/facebook.com\/iquanta.in","article_author":"https:\/\/www.facebook.com\/jeet.singh.412224","article_published_time":"2025-02-24T14:17:41+00:00","article_modified_time":"2025-02-24T15:43:08+00:00","author":"Indrajeet Singh","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Indrajeet Singh","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/#article","isPartOf":{"@id":"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/"},"author":{"name":"Indrajeet Singh","@id":"https:\/\/www.iquanta.in\/blog\/#\/schema\/person\/2beb5d5f0836ae531bc05794e824b890"},"headline":"CAT Mock Test Series 2025 \u2013 Answers","datePublished":"2025-02-24T14:17:41+00:00","dateModified":"2025-02-24T15:43:08+00:00","mainEntityOfPage":{"@id":"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/"},"wordCount":747,"publisher":{"@id":"https:\/\/www.iquanta.in\/blog\/#organization"},"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/","url":"https:\/\/www.iquanta.in\/blog\/cat-quants-answers\/","name":"CAT Mock Test Series 2025 \u2013 Answers - 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